<i>h</i>‐Adaptive FE methods applied to single‐ and multiphase problems

Ehlers, Wolfgang; Ammann, M.; Diebels, Stefan

doi:10.1002/nme.422

Cited by 18 publications

(20 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, there are at least two non-trivial issues that must be addressed in order to apply this algorithm to coupled fluid-flow/solid-deformation problems. The first is that an appropriate refinement/coarsening criterion must be developed that accounts for the coupled nature of the fluidsolid problem, see [23,56]. The second consideration is that applying adaptive mesh refinement to a plastic medium introduces additional questions about how to handle the treatment of internal plastic variables.…”

Section: Impact Of Strength Parameters Variation On Failure Mechanismmentioning

confidence: 99%

Continuum deformation and stability analyses of a steep hillside slope under rainfall infiltration

2010

View full text Add to dashboard Cite

Rainfall weakens an earth slope in a number of ways. It increases the degree of saturation of the soil, thereby breaking the bonds created by surface tension between the soil particles. When the volume of infiltrating water is large enough to mobilize fluid flow inside the soil matrix, the fluid exerts a downhill frictional drag on the slope, creating a destabilizing effect. When excess fluid can no longer infiltrate the slope due to increased saturation in the soil, it is discharged as a surface runoff and erodes the slope. In this paper, we present a physics-based framework for continuum modeling of a hydrologically driven slope failure similar to what occurred in a steep experimental catchment CB1 near Coos Bay, Oregon. We quantify the rainfall-induced slope deformation and assess the failure potential of the slope using finite element modeling that couples solid deformation with fluid pressure in an unsaturated soil. Results of the studies suggest that for a steep hillside slope underlain by a shallow bedrock similar to the CB1 site, failure would occur by multiple slide blocks with the failure surfaces emerging on the slope face. These results suggest that an infinite slope mechanism would be insufficient to represent the failure kinematics for a slope similar to CB1.

show abstract

Section: Impact Of Strength Parameters Variation On Failure Mechanismmentioning

confidence: 99%

Continuum deformation and stability analyses of a steep hillside slope under rainfall infiltration

2010

View full text Add to dashboard Cite

show abstract

“…e.g. [21][22][23][24][25][26][27][28][29][30][31][32]. While the first example proceeds from small deformation of an elasto-plastic soil with an immiscible combination of a fluid and a gaseous pore content, the second one depends on finite elastic deformations of swelling media driven through osmosis and electro-chemical effects.…”

Section: General Frameworkmentioning

confidence: 99%

“…Applying the mixture derivative defined by (24) to the entropy functions η α , one obtains with the aid of (39) 6 instead of (40)…”

Section: Balance Relations Of the Constituentsmentioning

confidence: 99%

Challenges of porous media models in geo- and biomechanical engineering including electro-chemically active polymers and gels

Ehlers

2009

Int J Adv Eng Sci Appl Math

View full text Add to dashboard Cite

Miscible multi-component materials like classical mixtures as well as immiscible materials like saturated and partially saturated porous media can be successfully described on the common basis of the well-founded Theory of Mixtures (TM) or the Theory of Porous Media (TPM). In particular, both the TM and the TPM provide an excellent framework for a macroscopic description of a broad variety of applications ranging, for example, from standard and sophisticated problems in geomechanics via biomechanical applications to electro-chemically active polymers and gels, etc. The present article portrays general multiphasic and multi-component materials, thus reflecting their mechanical and their thermodynamical framework, while furthermore adding electro-chemical effects. Including some constitutive models and illustrative numerical examples, the article can be understood as a reference to theoretical and numerical investigations in the broad field of porous media models.

show abstract

“…Ehlers et al [8][9][10]. Nevertheless, new strategies have to be considered for a realization of applications of the model in 3-d in order to handle the huge amount of unknowns arising by the discretization by Taylor-Hood elements.…”

Section: Introductionmentioning

confidence: 98%

Parallel 3-d simulations for porous media models in soil mechanics

Wieners

Ammann²,

Diebels

et al. 2002

Computational Mechanics

Self Cite

View full text Add to dashboard Cite

Abstract:We introduce a general parallel model for solving coupled nonlinear and time-dependent problems in soil mechanics. In particular, we discuss the application to a triphasic porous media model, where we compute the deformation of unsaturated soil together with the porefluid flow of water and air in the soil, and where the material behaviour of the skeleton is assumed to be elasto-viscoplastic. In two large-scale numerical experiments we finally present an extended evaluation of our parallel model for demanding 3-d configurations.References:

show abstract

h‐Adaptive FE methods applied to single‐ and multiphase problems

Cited by 18 publications

References 29 publications

Continuum deformation and stability analyses of a steep hillside slope under rainfall infiltration

Continuum deformation and stability analyses of a steep hillside slope under rainfall infiltration

Challenges of porous media models in geo- and biomechanical engineering including electro-chemically active polymers and gels

Parallel 3-d simulations for porous media models in soil mechanics

Contact Info

Product

Resources

About